1779770016 has 96 divisors (see below), whose sum is σ = 5358528000. Its totient is φ = 574110720.

The previous prime is 1779770011. The next prime is 1779770017. The reversal of 1779770016 is 6100779771.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1779770011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6441 + ... + 60008.

It is an arithmetic number, because the mean of its divisors is an integer number (55818000).

Almost surely, 2^1779770016 is an apocalyptic number.

1779770016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1779770016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679264000).

1779770016 is an abundant number, since it is smaller than the sum of its proper divisors (3578757984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1779770016 is a wasteful number, since it uses less digits than its factorization.

1779770016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66499 (or 66485 counting only the distinct ones).

The product of its (nonzero) digits is 129654, while the sum is 45.

The square root of 1779770016 is about 42187.3205596184. The cubic root of 1779770016 is about 1211.8660767620.

The spelling of 1779770016 in words is "one billion, seven hundred seventy-nine million, seven hundred seventy thousand, sixteen".